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s344n2d4d5 [400]
3 years ago
7

I need to match each equation with the right answers and I need to show my work for each one

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0
Don’t mind my hand writing

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What’s the angle of cda
Anastaziya [24]

Answer:

∠ CDA = 32.3°

Step-by-step explanation:

See the given figure attached to this answer.

Draw perpendiculars from B and C on AD which is BE and CF.

Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25

⇒ AE = 4.5 cm

Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}

And CF = BE = 6 cm.

Now, Δ CFD is a right triangle and  

\tan \beta  =\frac{CF}{FD} = \frac{6}{9.5}  = 0.6315 {Where β = ∠ CDA}

⇒ \beta  = \tan^{-1} (0.6315)=32.27 Degree.

So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)

8 0
3 years ago
-5/2 x (3x + 4) &lt; 6x - 3x<br> Please show work
Pie

Answer:

x >  -  \frac{20}{21}

Step-by-step explanation:

-5/2 × (3x + 4) < 6x - 3x

-15/2x - 10 < 3x

-15x - 20 < 6x

-15x - 6x < 20

-21x < 20

<u>x</u><u> </u><u>></u><u> </u><u>-</u><u>2</u><u>0</u><u>/</u><u>2</u><u>1</u>

8 0
2 years ago
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What is 16 percent of $36.48 ?
vlabodo [156]
16% of $36.48 is $5.84

 9s\frac{is}{36.48} =  \frac{16}{100}

Cross multiply 16 and 36.48 to 583.68, and then I divided by 100, to get the percent of 5.8368, which I rounded up to 5.84%.
4 0
3 years ago
Solve for x, rounding to the nearest hundredth.
Andreas93 [3]
Answer: x=1.32
Hope this helps!
6 0
2 years ago
Matt has
Vlad [161]

Answer:

Fix the layout of the question because I cant tell the numbers

Step-by-step explanation:

5 0
3 years ago
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